Estimate and then find the difference.23 1/6-5 6/8

For this case we have the following expression:[tex]23 \frac {1} {6} -5 \frac {6} {8} =[/tex]We convert mixed numbers to improper fractions:[tex]23 \frac {1} {6} = \frac {6 * 23 + 1} {6} = \frac {138 + 1} {6} = \frac {139} {6}\\5 \frac {6} {8} = \frac {8 * 5 + 6} {8} = \frac {40 + 6} {8} = \frac {46} {8} = \frac {23} {4 }[/tex]Rewriting the expression we have:[tex]\frac {139} {6} - \frac {23} {4} = \frac {4 * 139-6 * 23} {24} = \frac {556-138} {24} = \frac {418} { 24} = \frac {209} {12}[/tex]Thus, the expression is simplified as:[tex]\frac {209} {12}[/tex]Answer:[tex]\frac {209} {12}[/tex]